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Finding the Fourth Proportional to 5,138.57, 7,709.00 and 1,851.68

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Solution

The fourth proportional to 5,138.57, 7,709.00 and 1,851.68 is: 2,777.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.57 : 7,709.00 = 1,851.68 : x
  2. Step 2: Convert to fraction form
    5,138.57/7,709.00 = 1,851.68/x
  3. Step 3: Cross multiply
    5,138.57x = 7,709.00 × 1,851.68
  4. Step 4: Simplify right side
    5,138.57x = 14,274,553.32
  5. Step 5: Solve for x
    x = 14,274,553.32/5,138.57
  6. Step 6: Final answer
    x = 2,777.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.